(b) A stone is projected from a point O at the top edge of a vertical cliff which is 60 metres above horizontal ground. The stone is projected at a speed V ms¹ at an angle a above the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to gravity is 10 ms 2. At time t seconds the position vector of the stone relative to O is r(t)=(20t)i+(20t-5t²) j. (i) Find in simplest exact form the values of V and a. (ii) Find the distance of the stone from the foot of the cliff when it hits the ground.

(b) A stone is projected from a point O at the top edge of a vertical cliff which is 60 metres above horizontal ground. The stone is projected at a speed V ms¹ at an angle a above the horizontal. The stone moves in a vertical plane under gravity where the acceleration due to gravity is 10 ms 2. At time t seconds the position vector of the stone relative to O is r(t)=(20t)i+(20t-5t²) j. (i) Find in simplest exact form the values of V and a. (ii) Find the distance of the stone from the foot of the cliff when it hits the ground.

Name: (b)A stone is projected from a point O at the top edge of a vertical
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Description: (b)A stone is projected from a point O at the top edge of a vertical cliff which is 60 metresabove horizontal ground. The stone is projected at a speed V ms¹ at an angle a abovethe horizontal. The stone moves in a vertical plane under gravity where

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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(b)
A stone is projected from a point O at the top edge of a vertical cliff which is 60 metres
above horizontal ground. The stone is projected at a speed V ms¹ at an angle a above
the horizontal. The stone moves in a vertical plane under gravity where the acceleration
due to gravity is 10 ms 2. At time t seconds the position vector of the stone relative to
Ois_r(t)=(20t)į+(201–5t²) j .
(i) Find in simplest exact form the values of V and a.
(ii) Find the distance of the stone from the foot of the cliff when it hits the ground.

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